Grade 7 Midterm Extra Questions on Proportions
39 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What integer expression represents the overall change when a football team loses 10 yards and then gains 7 yards?

  • –10 + 7 (correct)
  • –10 – 7
  • 10 + 7
  • 10 – 7
  • How would you model the temperature drop from 30 °F to a lower temperature after a 35 °F drop?

  • 30 – 35 (correct)
  • –30 + 35
  • 30 + 35
  • –30 – 35
  • Which of the following represents Perry's net amount of money after borrowing $3 from Lily?

  • 10 - (-3) (correct)
  • 10 + (-3)
  • 10 + 3
  • 10 - 3
  • If Jenny's debt is represented as –20 and she is told to ignore –12 of it, what expression would model this situation?

    <p>–20 - (–12) (D)</p> Signup and view all the answers

    What represents the new temperature after a temperature of –9 °C is reduced by 3.5 °C?

    <p>–9 – 3.5 (B)</p> Signup and view all the answers

    What is the unit rate in miles per hour if a car travels 240 miles in 4 hours?

    <p>60 miles per hour (A)</p> Signup and view all the answers

    What is the percent increase in the price of a shirt that rose from $20 to $25?

    <p>25% (B)</p> Signup and view all the answers

    If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate in cups of flour per cookie?

    <p>0.25 cups per cookie (C)</p> Signup and view all the answers

    What is the percent decrease in the population of deer that declined from 100 to 80?

    <p>20% (A)</p> Signup and view all the answers

    How much will a person pay for 14 apples if the store sells 10 apples for $5?

    <p>$8.00 (C)</p> Signup and view all the answers

    If a laptop decreases in price from $1200 to $960, what is the percent decrease?

    <p>20% (C)</p> Signup and view all the answers

    What would a worker earn if he works for 24 hours when he earns $360 for 30 hours?

    <p>$288 (B)</p> Signup and view all the answers

    If 2/3 cup of sugar is used for every 1/4 cup of butter, what is the unit rate of sugar to butter?

    <p>1.5 cups of sugar per cup of butter (A)</p> Signup and view all the answers

    What is the percent markup on shirts that are bought for $15 and sold for $25?

    <p>50% (C)</p> Signup and view all the answers

    During what time is a painter expected to paint an entire room, if he can paint 1/3 of a room in 1/2 hour?

    <p>2 hours (C)</p> Signup and view all the answers

    A bookstore purchases books for $10 each and sells them for $18 each. What is the percent markup?

    <p>60% (B)</p> Signup and view all the answers

    What is the sale price of a toaster that is originally $40 after a 15% discount?

    <p>$30 (C)</p> Signup and view all the answers

    What is the scale in centimeters if a map uses a scale of 1 centimeter to 500 meters and a park is 2 centimeters long on the map?

    <p>1000 meters (D)</p> Signup and view all the answers

    How much sales tax would be charged on a mobile phone that costs $990 with a sales tax rate of 6%?

    <p>$49.50 (A)</p> Signup and view all the answers

    What is Sharon's commission if she sold $37,000 worth of items at a 17% commission rate?

    <p>$5,750 (A)</p> Signup and view all the answers

    If Linda has a monthly base salary of $1,670 along with a 4.5% commission on her sales, how much total would she earn if her total sales amounted to $40,000?

    <p>$4,000 (B)</p> Signup and view all the answers

    How much total money will Rachel have after investing $2,700 for 2 years at 7% simple interest?

    <p>$3,342 (B)</p> Signup and view all the answers

    If Violeta Orpilla invested $4,000 at a 5% simple interest rate for 12 years, how much will be in her account?

    <p>$8,400 (D)</p> Signup and view all the answers

    What will John's account balance be if he buys a bike for $80 after his other transactions?

    <p>$50 (C)</p> Signup and view all the answers

    What is the temperature on Monday afternoon if it rose 20°F from an initial 35°F?

    <p>55°F (B)</p> Signup and view all the answers

    If the temperature drops 30°F overnight from Tuesday's high of 25°F, what is the new temperature?

    <p>-5°F (D)</p> Signup and view all the answers

    What is Jane's total amount of money if she earns $60 and then receives an additional $20?

    <p>$80 (C)</p> Signup and view all the answers

    What is the result of 8 + (-5)?

    <p>3 (A)</p> Signup and view all the answers

    What does Latrell's score become if he spins a wheel and loses 5 points?

    <p>0 points (D)</p> Signup and view all the answers

    If Scott starts with 20 points and spins to lose 11 points, what is his new score?

    <p>9 points (A)</p> Signup and view all the answers

    If a contestant answers incorrectly, how many points are deducted from their score?

    <p>50 points (B)</p> Signup and view all the answers

    If Jane has $80 and spends $10, how much will she have left?

    <p>$70 (A)</p> Signup and view all the answers

    What does a score of -6 indicate in the context of the game show?

    <p>The player has a penalty round. (B)</p> Signup and view all the answers

    How much interest does a principal of $2,000 earn at an 8% rate over 5 years?

    <p>$320 (A)</p> Signup and view all the answers

    What will be the result of -6 - (-9)?

    <p>3 (D)</p> Signup and view all the answers

    What is the submarine's final elevation after descending to -800 feet and then 200 more feet?

    <p>-1000 feet (A)</p> Signup and view all the answers

    What is the absolute value of -4?

    <p>4 (D)</p> Signup and view all the answers

    Which equation best represents the addition of absolute values for the submarine's descent?

    <p>|-800| + |-200| = 800 + 200 = 1000 (D)</p> Signup and view all the answers

    Which of the following correctly computes -100 + (-300) using absolute values?

    <p>-400 (A)</p> Signup and view all the answers

    Flashcards

    What is a proportional relationship?

    A proportional relationship exists when the ratio between two quantities remains constant. This means for every increase in one quantity, there's a corresponding increase in the other quantity at a fixed rate.

    What is a unit rate?

    The unit rate is a way of expressing a ratio with a denominator of 1. It tells you the amount of one quantity for each unit of the other quantity.

    What is the constant of proportionality?

    The constant of proportionality is the constant value that represents the relationship between two proportional quantities. It is the multiplier that relates the two quantities.

    What is percent change?

    Percent change is the difference between the original and new value, expressed as a percentage of the original value. It indicates the relative increase or decrease.

    Signup and view all the flashcards

    What is percent increase?

    Percent increase is a specific type of percent change where the new value is greater than the original value. It tells you how much bigger the new value is compared to the original.

    Signup and view all the flashcards

    What is percent decrease?

    Percent decrease is a specific type of percent change where the new value is less than the original value. It tells you how much smaller the new value is compared to the original.

    Signup and view all the flashcards

    Percent Increase

    The percentage change in a quantity when it increases from an initial value to a new value.

    Signup and view all the flashcards

    Percent Decrease

    The percentage change in a quantity when it decreases from an initial value to a new value.

    Signup and view all the flashcards

    Percent Markup

    The difference between the selling price and the cost price of a product, expressed as a percentage of the cost price.

    Signup and view all the flashcards

    Percent Markdown (Discount)

    The reduction in the price of a product, expressed as a percentage of the original price.

    Signup and view all the flashcards

    Markup Amount

    The amount added to the cost price of a good to determine its selling price.

    Signup and view all the flashcards

    Sales Tax

    A percentage charged on a purchase or service, typically added to the sale price.

    Signup and view all the flashcards

    Commission

    A percentage of an amount earned for performing a service or selling a product.

    Signup and view all the flashcards

    Base Salary

    A fixed sum of money earned regularly, regardless of sales or performance.

    Signup and view all the flashcards

    Gratuity (Tip)

    The amount added to a bill as a tip for service, typically calculated as a percentage of the total.

    Signup and view all the flashcards

    Adding Integers with Different Signs

    Adding two numbers with different signs is the same as subtracting the smaller absolute value from the larger absolute value and keeping the sign of the number with the larger absolute value.

    Signup and view all the flashcards

    Subtracting a Negative Number

    Subtracting a negative number is equivalent to adding its positive counterpart.

    Signup and view all the flashcards

    Calculating Net Change

    The net change in position is calculated by adding the individual changes.

    Signup and view all the flashcards

    Modeling Integers on a Number Line

    Using the number line, adding a negative number is equivalent to moving left, and subtracting a negative number is equivalent to moving right.

    Signup and view all the flashcards

    Adding and Subtracting Rational Numbers

    Adding or subtracting rational numbers involves combining their values, taking into account their signs.

    Signup and view all the flashcards

    Simple Interest

    The amount of money earned from an investment, calculated as a percentage of the principal amount.

    Signup and view all the flashcards

    Principal

    The original amount of money invested or borrowed.

    Signup and view all the flashcards

    Interest Rate

    The percentage rate at which interest is calculated on the principal amount.

    Signup and view all the flashcards

    Total Amount

    The total amount of money earned from an investment, including the principal.

    Signup and view all the flashcards

    Adding Positive Integers

    Adding positive and negative integers together. For example, if John has $20 and earns $110, his balance increases to $130.

    Signup and view all the flashcards

    Subtracting Positive Integers

    Subtracting positive and negative integers. For example, if John spends $40 from his $130 balance, he has $90 left.

    Signup and view all the flashcards

    Thermometer as a number line

    A visual representation of the range of temperatures, typically shown as a vertical line with increasing values as you go up.

    Signup and view all the flashcards

    Temperature Drop

    A decrease in temperature, indicated by a downward movement on a thermometer.

    Signup and view all the flashcards

    Number Line for Money Management

    A visual representation of the amounts earned and spent, typically displayed on a horizontal line with increasing values as you move to the right.

    Signup and view all the flashcards

    Calculating Total Amount with Interest

    A sequence of steps used to calculate the final amount of money a person will have after earning interest on an investment.

    Signup and view all the flashcards

    Adding a positive and a negative number

    Adding a positive number to a negative number.

    Signup and view all the flashcards

    Subtracting a negative from a positive

    Subtracting a negative number from a positive number.

    Signup and view all the flashcards

    Adding two negative numbers

    Adding two negative numbers together.

    Signup and view all the flashcards

    Absolute Value

    The distance of a number from zero on the number line, regardless of direction.

    Signup and view all the flashcards

    Adding absolute values of negative numbers

    Adding the absolute values of negative numbers to determine the total distance traveled in the negative direction.

    Signup and view all the flashcards

    Negative Number

    A number that has a value below zero.

    Signup and view all the flashcards

    Positive Number

    A number that has a value above zero.

    Signup and view all the flashcards

    Elevation below sea level

    A number that represents a position below sea level.

    Signup and view all the flashcards

    Final Elevation

    The final position of an object after a series of movements, especially related to elevation or depth.

    Signup and view all the flashcards

    Computing the sum of integers

    The process of determining the sum of integers.

    Signup and view all the flashcards

    Study Notes

    Grade 7 Midterm Extra Questions

    • Proportional relationships exist when the ratio of one quantity to another is constant.
    • The constant of proportionality is represented by 'k', where k = y/x .
    • A proportional relationship is shown graphically by a straight line passing through the origin.
    • Unit rates are used to compare different quantities.
    • Example unit rates: Miles per hour, dollars per apple, cups of flour per cookie.
    • Proportional relationships can be represented using tables. A proportional relationship exists if the ratios of corresponding values (y/x) are all equal.
    • Equations can be written to represent proportional relationships (e.g., y = kx).
    • Various word problems are presented involving calculating unit rates.
    • Determining if a relationship is proportional from a table of values.
    • Finding the constant of proportionality.
    • Writing an equation to represent a proportional relationship.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Description

    Test your knowledge on proportional relationships and unit rates with these extra questions for Grade 7 midterms. This quiz covers defining proportionality, calculating unit rates, and writing equations that represent proportional relationships. Perfect for reinforcing your understanding of the topic before exams!

    More Like This

    Use Quizgecko on...
    Browser
    Browser